7

Yet another party has been announced for this weekend. You plan to go together with your friends Barbara and Chris. Again, you need to decide what colour to wear. Sup- pose that you as well as your friends have the choice between white, red, blue, green, brown and black. The preferences about the colours are represented by the utilities in the following table: white red blue green brown black You 3 6 2 5 1 4 Barbara 4 1 6 2 3 5 Chris 6 4 3 1 5 2 You do not know which colours your friends will be wearing and you strongly dislike being at the party dressed in the same colour as your friends. More precisely, if at least one of your friends is wearing the same colour as you, your utility is zero. The same applies to Barbara and Chris